135594180 has 72 divisors (see below), whose sum is σ = 412444032. Its totient is φ = 36058176.

The previous prime is 135594161. The next prime is 135594181. The reversal of 135594180 is 81495531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (135594181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82527 + ... + 84153.

Almost surely, 2^135594180 is an apocalyptic number.

135594180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135594180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206222016).

135594180 is an abundant number, since it is smaller than the sum of its proper divisors (276849852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135594180 is a wasteful number, since it uses less digits than its factorization.

135594180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 135594180 is about 11644.4914015169. The cubic root of 135594180 is about 513.7442999350.

The spelling of 135594180 in words is "one hundred thirty-five million, five hundred ninety-four thousand, one hundred eighty".